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中文摘要：
对于空间分数阶对流扩散方程的初边值问题提出了一系列半加权差分格式.可以证明此格式当分数阶导数属于[（√17-1）/2,2]时无条件稳定,且二阶收敛.最后给出数值算例验证了理论证明.
英文摘要：
A series of semi-weighted implicit finite difference schemes for solving onedimensional fractional advection-dispersion equations with variable coefficients on a finite domain are considered in this paper.The schemes are proved unconditionally stable and second-order accuracy in spatial grid size for the problem with order of fractional derivative belonging to[（（√17-1）/2,2].Numerical examples are provided to verify the theoretical analysis.
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